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Finding the Fourth Proportional to 556.65, 766.38 and 458.23

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Solution

The fourth proportional to 556.65, 766.38 and 458.23 is: 630.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.65 : 766.38 = 458.23 : x
  2. Step 2: Convert to fraction form
    556.65/766.38 = 458.23/x
  3. Step 3: Cross multiply
    556.65x = 766.38 × 458.23
  4. Step 4: Simplify right side
    556.65x = 351,178.31
  5. Step 5: Solve for x
    x = 351,178.31/556.65
  6. Step 6: Final answer
    x = 630.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.